Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 948, 323, 10, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 323, 10, 116 is 1
GCD(948, 323, 10, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 323, 10, 116 is 1
GCD(948, 323, 10, 116) = 1
Given Input numbers are 948, 323, 10, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 948, 323, 10, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 323, 10, 116 is 1.
Therefore, GCD of numbers 948, 323, 10, 116 is 1
Given Input Data is 948, 323, 10, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 323 is 17 x 19
Prime Factorization of 10 is 2 x 5
Prime Factorization of 116 is 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(948, 323) = 306204
GCD(948, 323) = ( 948 x 323 ) / 306204
GCD(948, 323) = 306204 / 306204
GCD(948, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 948, 323, 10, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 323, 10, 116?
GCD of 948, 323, 10, 116 is 1
2. Where do I get the detailed procedure to find GCD of 948, 323, 10, 116?
You can find a detailed procedure to find GCD of 948, 323, 10, 116 on our page.
3. How to find GCD of 948, 323, 10, 116 on a calculator?
You can find the GCD of 948, 323, 10, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.